What are the solutions to the equation 3(x-7)=x(x-7) ?

The solutions to the equation 3(x-7)=x(x-7) are x=7,x=3

Find the zeros of 3(x-7)=x(x-7)

The zeros of 3(x-7)=x(x-7) are x=7,x=3

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3 (x - 7) = x (x - 7)

x = 7, x = 3

Solution steps

3 (x - 7) = x (x - 7)

Move

x (x - 7)

to the left side

3 (x - 7) - x (x - 7) = 0

Factor

3 (x - 7) - x (x - 7) : - (x - 7) (x - 3)

- (x - 7) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 7 = 0 or x - 3 = 0

Solve

x - 7 = 0 : x = 7

Solve

x - 3 = 0 : x = 3

The solutions to the quadratic equation are:

x = 7, x = 3

y^{2} + 13 y + 40 = 0

300 = t^{2} + 2 t

- x^{2} + 21 x - 74 = 0

x, 2 y + 6 x = 3 x^{2} - y^{4}

- 2 x^{2} - 3 x + 20 = 0

What are the solutions to the equation 3(x-7)=x(x-7) ?
The solutions to the equation 3(x-7)=x(x-7) are x=7,x=3
Find the zeros of 3(x-7)=x(x-7)
The zeros of 3(x-7)=x(x-7) are x=7,x=3